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成层碾压混凝土结构的内部应力和位移对其设计十分重要。根据刚度矩阵法的基本原理提出了一个建立成层弹性介质二维基本解的一般方法,基于这一方法可以建立用于进行有限尺寸成层结构体应力分析的半解析数值方法。另外,用叠加法解决了在层体内部力作用点附近Fourier积分收敛性不好的问题。在对叠加法进行数值检验中,还得到了具有刚性边界的无限长条形介质在内部集中力作用下的解。
The internal stress and displacement of layered RCC structure are very important to its design. According to the basic principle of stiffness matrix method, a general method of establishing two-dimensional basic solution of layered elastic media is proposed. Based on this method, a semi-analytical numerical method for stress analysis of finite-size layered structures can be established. In addition, the superposition method is used to solve the problem of poor convergence of Fourier integral near the point of force acting inside the layer. In the numerical test of the superposition method, the solution of an infinitely long bar-like medium with rigid boundary under the action of internal concentration is also obtained.